Prespecifiable fixed‐time control for a class of uncertain nonlinear systems in strict‐feedback form

2019 ◽  
Vol 30 (3) ◽  
pp. 1203-1222
Author(s):  
Ye Cao ◽  
Changyun Wen ◽  
Shilei Tan ◽  
Yongduan Song
Entropy ◽  
2021 ◽  
Vol 23 (8) ◽  
pp. 963
Author(s):  
Yang Li ◽  
Jianhua Zhang ◽  
Xiaoyun Ye ◽  
Cheng Siong Chin

This paper examines the adaptive control of high-order nonlinear systems with strict-feedback form. An adaptive fixed-time control scheme is designed for nonlinear systems with unknown uncertainties. In the design process of a backstepping controller, the Lyapunov function, an effective controller, and adaptive law are constructed. Combined with the fixed-time Lyapunov stability criterion, it is proved that the proposed control scheme can ensure the stability of the error system in finite time, and the convergence time is independent of the initial condition. Finally, simulation results verify the effectiveness of the proposed control strategy.


Author(s):  
Kaixin Lu ◽  
Zhi Liu ◽  
Haoyong Yu ◽  
C. L. Philip Chen ◽  
Yun Zhang

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